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304513040 = 24513292801
BaseRepresentation
bin10010001001101…
…000000000010000
3210012222212100202
4102021220000100
51110423404130
650114434332
710355214056
oct2211500020
9705885322
10304513040
11146987177
1285b929a8
134b11b040
142c62a1d6
151bb01145
hex12268010

304513040 has 40 divisors (see below), whose sum is σ = 762456408. Its totient is φ = 112435200.

The previous prime is 304513039. The next prime is 304513063. The reversal of 304513040 is 40315403.

It can be written as a sum of positive squares in 4 ways, for example, as 21196816 + 283316224 = 4604^2 + 16832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145361 + ... + 147440.

Almost surely, 2304513040 is an apocalyptic number.

It is an amenable number.

304513040 is an abundant number, since it is smaller than the sum of its proper divisors (457943368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304513040 is a wasteful number, since it uses less digits than its factorization.

304513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292827 (or 292821 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 304513040 is about 17450.3020031173. The cubic root of 304513040 is about 672.7731205002.

Adding to 304513040 its reverse (40315403), we get a palindrome (344828443).

The spelling of 304513040 in words is "three hundred four million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 292801 585602 1171204 1464005 2342408 2928010 3806413 4684816 5856020 7612826 11712040 15225652 19032065 23424080 30451304 38064130 60902608 76128260 152256520 304513040